Final answer:
To calculate the different ways a family can sit consecutively on a trip, we use permutations considering the 9 family members. Consecutive seating can be seen as a group arrangement, impacting the total combinations.
Explanation:
To determine the number of ways the family can sit, we need to consider the concept of permutations. Since there are 9 family members, they can sit in 9! (9 factorial) ways. However, since the seats are consecutive, they can also be considered as a group, reducing the number of ways by an additional 9! due to the internal arrangements within the group.
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